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tính hợp lý

a. (7/8 - 5/2 +4/7)-(-3/7+1-13/8)+3/5-(-2/7)

b. -3/7+(3-3/4)-(2,25-10/7)

Nguyễn Lê Phước Thịnh
20 tháng 7 2024 lúc 8:46

a: \(\left(\dfrac{7}{8}-\dfrac{5}{2}+\dfrac{4}{7}\right)-\left(-\dfrac{3}{7}+1-\dfrac{13}{8}\right)+\dfrac{3}{5}-\left(-\dfrac{2}{7}\right)\)

\(=\dfrac{7}{8}-\dfrac{5}{2}+\dfrac{4}{7}+\dfrac{3}{7}-1+\dfrac{13}{8}+\dfrac{3}{5}+\dfrac{2}{7}\)

\(=\left(\dfrac{7}{8}+\dfrac{13}{8}-\dfrac{5}{2}\right)+\left(\dfrac{4}{7}+\dfrac{3}{7}+\dfrac{2}{7}\right)-1+\dfrac{3}{5}\)

\(=\dfrac{9}{7}-\dfrac{2}{5}=\dfrac{45}{35}-\dfrac{14}{35}=\dfrac{31}{35}\)

b: \(-\dfrac{3}{7}+\left(3-\dfrac{3}{4}\right)-\left(2,25-\dfrac{10}{7}\right)\)

\(=-\dfrac{3}{7}+3-\dfrac{3}{4}-\dfrac{9}{4}+\dfrac{10}{7}\)

\(=1-3+3=1\)

người hướng nội
20 tháng 7 2024 lúc 10:28

\(\left(\dfrac{7}{8}-\dfrac{5}{2}+\dfrac{4}{7}\right)-\left(-\dfrac{3}{7}+1-\dfrac{13}{8}\right)+\dfrac{3}{5}-\left(-\dfrac{2}{7}\right)\)

\(=\dfrac{7}{8}-\dfrac{5}{2}+\dfrac{4}{7}+\dfrac{3}{7}-1+\dfrac{13}{8}+\dfrac{3}{5}+\dfrac{2}{7}\)

\(=\left(\dfrac{7}{8}+\dfrac{13}{8}\right)-\dfrac{5}{2}+\left(\dfrac{4}{7}+\dfrac{3}{7}+\dfrac{2}{7}\right)+\dfrac{3}{5}-1\)

\(=\dfrac{5}{2}-\dfrac{5}{2}+\dfrac{9}{7}-\dfrac{2}{5}\)

\(=\dfrac{31}{35}\)

\(-\dfrac{3}{7}+\left(3-\dfrac{3}{4}\right)-\left(2,25-\dfrac{10}{7}\right)\)

\(=-\dfrac{3}{7}+3-\dfrac{3}{4}-\dfrac{9}{4}+\dfrac{10}{7}\)

\(=\left(-\dfrac{3}{7}+\dfrac{10}{7}\right)-\left(\dfrac{3}{4}+\dfrac{9}{4}\right)+3\)

\(=1-3+3\)

`=1`